New exact results on density matrix for XXX spin chain
| Autor: | Tetsuji Miwa, F. Smirnov |
|---|---|
| Přispěvatelé: | Smirnov, Fedor, Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Canonical ensemble Physics Density matrix [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Computation 010102 general mathematics FOS: Physical sciences Statistical and Nonlinear Physics Quantum entanglement Mathematical Physics (math-ph) 01 natural sciences Spin chain Condensed Matter - Other Condensed Matter High Energy Physics - Theory (hep-th) 0103 physical sciences Homogeneous space Entropy (information theory) [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th] 010307 mathematical physics 0101 mathematics Anisotropy Mathematical Physics Mathematical physics Other Condensed Matter (cond-mat.other) |
| Zdroj: | Letters in Mathematical Physics Letters in Mathematical Physics, Springer Verlag, 2018 |
| ISSN: | 0377-9017 1573-0530 |
| DOI: | 10.48550/arxiv.1802.08491 |
| Popis: | Using the fermionic basis we obtain the expectation values of all $\slt$-invariant and $C$-invariant local operators on 10 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. This is equivalent to the generalised Gibbs ensemble for the XXX spin chain. In the case when the $\slt$ and $C$ symmetries are not broken this computation is equivalent to finding the entire density matrix up to 10 sites. As application, we compute the entanglement entropy without and with temperature, and compare the results with CFT predictions. Comment: 20 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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